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99104256 = 293367107
BaseRepresentation
bin1011110100000…
…11011000000000
320220111000111000
411322003120000
5200332314011
613500052000
72312241456
oct572033000
9226430430
1099104256
1150a3a549
1229234000
13176bbb94
14d23a9d6
158a79356
hex5e83600

99104256 has 160 divisors (see below), whose sum is σ = 300516480. Its totient is φ = 32237568.

The previous prime is 99104219. The next prime is 99104267. The reversal of 99104256 is 65240199.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 99104256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926155 + ... + 926261.

It is an arithmetic number, because the mean of its divisors is an integer number (1878228).

Almost surely, 299104256 is an apocalyptic number.

99104256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240).

99104256 is an abundant number, since it is smaller than the sum of its proper divisors (201412224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99104256 is a wasteful number, since it uses less digits than its factorization.

99104256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 99104256 is about 9955.1120536135. The cubic root of 99104256 is about 462.7688328484.

The spelling of 99104256 in words is "ninety-nine million, one hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 107 108 128 134 144 192 201 214 216 256 268 288 321 384 402 428 432 512 536 576 603 642 768 804 856 864 963 1072 1152 1206 1284 1536 1608 1712 1728 1809 1926 2144 2304 2412 2568 2889 3216 3424 3456 3618 3852 4288 4608 4824 5136 5778 6432 6848 6912 7169 7236 7704 8576 9648 10272 11556 12864 13696 13824 14338 14472 15408 17152 19296 20544 21507 23112 25728 27392 28676 28944 30816 34304 38592 41088 43014 46224 51456 54784 57352 57888 61632 64521 77184 82176 86028 92448 102912 114704 115776 123264 129042 154368 164352 172056 184896 193563 229408 231552 246528 258084 308736 344112 369792 387126 458816 463104 493056 516168 688224 739584 774252 917632 926208 1032336 1376448 1479168 1548504 1835264 2064672 2752896 3097008 3670528 4129344 5505792 6194016 8258688 11011584 12388032 16517376 24776064 33034752 49552128 99104256